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Finding the Fourth Proportional to 13,738.71, 20,609.71 and 4,852.20

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Solution

The fourth proportional to 13,738.71, 20,609.71 and 4,852.20 is: 7,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.71 : 20,609.71 = 4,852.20 : x
  2. Step 2: Convert to fraction form
    13,738.71/20,609.71 = 4,852.20/x
  3. Step 3: Cross multiply
    13,738.71x = 20,609.71 × 4,852.20
  4. Step 4: Simplify right side
    13,738.71x = 100,002,434.86
  5. Step 5: Solve for x
    x = 100,002,434.86/13,738.71
  6. Step 6: Final answer
    x = 7,278.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.